IMO
If a Man is asking a Women to marry him I think he has a right to ask personal question as to what is important to him! However, if they are just dating or making friends to me that is an entirely different situation.
Online everyone is a stranger Until I meet in person.
Speaking from my Experiences I have dated Several online Men in Person, and I would not marry any of them except 1 and I found out he was Lying about some things. He wanted to move forward but I did not.
I dated from a Paid only site NO forums.
Moderation with Rules. Most sites are Very expensive now after 2020 in USA thousands went Online!
Messaging is more Personal one on one.
If a man asks a woman to marry him and still doesn't trust her or still doesn't really know her then he's an idiot.
You don't ask someone to marry you unless you really love them, care about them, have established a solid relationship with them and know that you want to spend the rest of your life with them.
I wouldn't even say 'yes' to a man if he was still basically a stranger. Nor would I marry him if he didn't trust me and felt that he suddenly had reason, or the right, to interrogate me.
Aside from that, normally when you're in touch & dating for a while these kind of things come up by themselves. In a natural way, not by someone demanding answers.
Maybe it's a generational difference, can also be a cultural difference.
To me how you portray things and what you seem to find normal feels very rigid and very mental, totally not from the heart.
I'm not into a calculated mental relationship. I want a love relationship with bonding on all levels.
Some of these levels (I believe there are 4 or 5) are emotional, spiritual, mental.